University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 6 - Section 6.5 - Work - Exercises - Page 380: 3


$0.08 J$ or 0.08 N-m

Work Step by Step

Since, we know $F=k x$ Then, $k=\dfrac{F}{x}=\dfrac{2}{0.02}= 100$ N-m The rubber band will stretch, that is, the limits for $x$ will be from $0$ to: $x=\dfrac{4}{100}=0.04 m$ Now, work done will be $W=\int_0^{0.04} 100 x dx= 100[ \dfrac{x^2}{2}]_0^{0.04}$ or, $W=50[ (0.04)^2-0] =0.08 J$ or 0.08 N-m
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